Solve (x - 1)/2 - (x + 6)/3 = - 2 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{x-1}{2}-\frac{x+6}{3}=-2$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\left(x-1\right)-2\left(x+6\right)=-12$$

Use the distributive property to multiply $3$ by $x-1$.

$$3x-3-2\left(x+6\right)=-12$$

Use the distributive property to multiply $-2$ by $x+6$.

$$3x-3-2x-12=-12$$

Combine $3x$ and $-2x$ to get $x$.

$$x-3-12=-12$$

Subtract $12$ from $-3$ to get $-15$.

$$x-15=-12$$

Add $15$ to both sides.

$$x=-12+15$$

Add $-12$ and $15$ to get $3$.

$$x=3$$